Permutation Matrix on Matlab

2021 10 9
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更新时间：2022 5 5
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Hi I am new on MATLAB. In my project I am using matlab. Some step of works wanted to find permuation matrix. AS you can see from photo given.
So I need to find permutation matrix for A(sc). But I couldn't figure out how to make on MATLAB. I use below codes, it gives irrevalent result. T
A=[-1 -1 1;1 -1 0;-3 0 1;1 0 0]
B = perms(A);

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Walter Roberson
Walter Roberson 2021-10-9
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Ran in:
The description showed you the way:
ASc = [-1 -1 1;1 -1 0;-3 0 1;1 0 0]
ASc = 4×3
-1 -1 1 1 -1 0 -3 0 1 1 0 0
[LSc, USc, PSc] = lu(ASc)
LSc = 4×3
1.0000 0 0 -0.3333 1.0000 0 0.3333 1.0000 1.0000 -0.3333 0 1.0000
USc = 3×3
-3.0000 0 1.0000 0 -1.0000 0.3333 0 0 0.3333
PSc = 4×4
0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1
Note: the term "permutation matrix" in this context is not the same as is produced by perms() https://www.mathworks.com/help/matlab/ref/perms.html which "returns a matrix containing all permutations of the elements of vector v in reverse lexicographic order." The concepts do have a relationship, but perms() is not at all what you want for the purpose of building the kind of permutation matrix you need.

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